Archbishop Carroll High School

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Mathematics » Mathematics Department

Mathematics Department

Graduation Goals

Students will be able to:

* Solve real-world and theoretical problems using:

    
Basic arithmetic concepts and operations

Geometry and coordinate geometry

Graphs, statistics, charts and probability

Algebraic concepts and operations

* Organize and manage information to solve multi-step problems
 
* Use logical reasoning
 
* Recognize mathematical patterns and equivalencies

 

Mathematics Courses

310 Honors Algebra 1 (9)     1 credit
 

Using a strong foundation of math before high school, students will explore topics such as data analysis, order of operations, properties of real numbers, equations, inequalities, ratios, proportions, various representations of linear equations and solving systems of linear equations. Departmental approval required.


311  Algebra I (9)     ½ credit

This first-year course in algebra covers topics extended from concepts such as operations with fractions, decimal and whole numbers learned before high school. Students will explore topics such as data analysis, order of operations, properties of real numbers, equations, inequalities, ratios, proportions, various representations of linear equations and solving systems of linear equations.


315 Algebra 1 Lab     ½ credit

Taken concurrently with Algebra I, this course provides additional practice, review of skills essential to success in Algebra 1 and higher mathematical disciplines, and a continual review of essential algebraic concepts learned throughout the year. This lab will include learning activities that stimulate multiple intelligences.

Departmental approval required. Students who are required to take Algebra 1 Lab are expected to accrue a total of at least five credits in math for graduation.


320 Honors Geometry (9, 10)     ½ credit

Geometry is a branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids. This course addresses topics such as distance, congruence and similarity of figures, circles, triangles, areas, volumes, Pythagorean Theorem and methods of coordinate geometry. Students will learn to use logic and deductive reasoning to solve real-world problems. This course also reestablishes specific algebraic skills so students will recognize how algebra and geometry complement each other.


321/322 Geometry (9, 10)     1 credit

Geometry is a branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids. This course addresses topics such as distance, congruence and similarity of figures, circles, triangles, areas, volumes, Pythagorean Theorem and methods of coordinate geometry. Students will learn to use logic and deductive reasoning to solve real-world problems. This course also reestablishes specific algebraic skills so students will recognize how algebra and geometry complement each other.


323 Mathematical Problem Solving & Test Prep (10, elective)     ½ credit

This course, formerly known as Geometry Lab, will include learning activities that stimulate the multiple intelligences, review essential algebraic concepts and reinforce geometric topics. This course will also explore concepts and topics covered on the SAT.


330 Honors Algebra 2     1 credit

This second-year course in algebra extends topics such as linear equations and inequalities before exploring the families of functions. This course explores quadratic, rational, exponential and logarithmic functions and their real-world applications. Students will learn problem-solving strategies and critical thinking that will help them on the SAT.


331 Algebra 2     1 credit

This second year course in algebra extends topics such as linear equations and inequalities before exploring the families of functions. This course explores quadratic, rational, exponential and logarithmic functions and their real-world applications. Students will learn problem-solving strategies and critical thinking that will help them on the SAT.


351 Pre-Calculus     1 credit

This intermediate course is designed to prepare students for a college-level calculus class. This course covers topics such as conic sections, exponential, logarithmic, and rational functions, and trigonometric functions, identities and their applications. Students will improve their analytical thinking and problem-solving skills by using mathematical concepts to solve real-world problems. Course will engage in review of quadratic relations, polynomials, rational and irrational functions, and identities, and will have a strong focus on real-world applications. This course will also explore parametric equations, polar coordinates, vectors and limits.


345 Honors Pre-Calculus     1 credit

This course explores the topics address in Pre-Calculus at an accelerated pace and deeper level, designed to prepare students for a college-level calculus course.


380 I.B. Mathematical Studies 11     1 credit

The purpose of this course is to expose students to mathematics that is challenging, thoughtful and relevant to their lives and the lives of others. In alignment with the I.B. Math Studies SL curriculum, students in the course will study elements of Algebra 2, functions, sets, probability, geometry, and trigonometry.

Departmental approval required.

This course is required for is for I.B. Diploma Candidates


382 I.B. Mathematical Studies 12     1 credit

Through classwork and extended mathematical investigations, this course will continue the real-world focus of I.B. Math Studies 11 through the study of sequences, series and statistics; an introduction to differential calculus; and financial mathematics.

Departmental approval required.

This course is required for is for I.B. Diploma Candidates


390 Calculus     1 credit

Topics include polynomials, trigonometric, exponential, and logarithmic functions, followed by discussion of limits, derivatives, and applications of differential calculus to real-world problem areas.


395 Probability and Statistics     1 credit

This Math course provides an introduction and analysis of probability and statistics with applications.  Topics include: basic probability models, combinatorics, random variables, discrete and continuous probability distributions, statistical estimation and testing, confidence intervals, and an introduction to linear regression.  The main objective is to provide students with the foundations of statistical inference.